210082464 has 96 divisors (see below), whose sum is σ = 648829440. Its totient is φ = 65903616.

The previous prime is 210082463. The next prime is 210082471. The reversal of 210082464 is 464280012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×210082464² = 88269283360622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (210082463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7537 + ... + 21839.

It is an arithmetic number, because the mean of its divisors is an integer number (6758640).

Almost surely, 2^210082464 is an apocalyptic number.

210082464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210082464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324414720).

210082464 is an abundant number, since it is smaller than the sum of its proper divisors (438746976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210082464 is a wasteful number, since it uses less digits than its factorization.

210082464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14339 (or 14325 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 210082464 is about 14494.2217452335. The cubic root of 210082464 is about 594.4699882024.

The spelling of 210082464 in words is "two hundred ten million, eighty-two thousand, four hundred sixty-four".